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A221018 Number n such that Fibonacci(n) is divisible by n, n + 1 and n - 1. 9

%I #21 Mar 26 2021 09:25:08

%S 108,2688,3528,4968,6480,15288,18048,20808,21000,25308,35448,47520,

%T 62928,68208,81648,82008,97608,103968,108288,116928,137088,139968,

%U 151848,162288,196560,197568,200928,235008,238728,253368,278208,363888,379008,400248,444528,449568,457608

%N Number n such that Fibonacci(n) is divisible by n, n + 1 and n - 1.

%C Numbers n such that Fibonacci(n) mod n = Fibonacci(n) mod (n-1) = Fibonacci(n) mod (n+1) = 0.

%C Subsequence of A023172.

%H Chai Wah Wu, <a href="/A221018/b221018.txt">Table of n, a(n) for n = 1..200</a>

%o (Python)

%o prpr, prev = 0, 1

%o for n in range(2, 100000):

%o prpr, prev = prev, prpr+prev

%o if n%2: continue

%o if (prev % n, prev % (n-1), prev % (n+1)) == (0, 0, 0):

%o print(n, end=", ")

%Y Cf. A000045, A023172, A225219.

%K nonn

%O 1,1

%A _Alex Ratushnyak_, May 03 2013

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Last modified April 19 13:40 EDT 2024. Contains 371792 sequences. (Running on oeis4.)